Wilson loops in supersymmetric Chern-Simons-matter theories and duality

Understand

We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms.

• We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional.
• We use our results to propose the mapping of Wilson loops under Seiberg-like dualities and verify that the proposed map agrees with the exact results for expectation values of circular Wilson loops.
• In some cases we also relate the algebra of Wilson loops to the equivariant quantum K-ring of certain quasi projective varieties.